I recall studying a law of friction some years ago, in engineering school. All I remember is that when first approximation was taken, the popular $f=k \times N$ was derived.
What could that be? Or if this does not exist, what is the proof that contact area does not affect friction force?
EDIT:
So, the book is about designing a friction clutch. This device consists of a number z of disc pair, one connected to the input shaft and the other disc from the pair connected to the output shaft.
If I understand the formula and meanings of the variables correctly, the maximum torque, that the device cn transmit is proportional to $F \times z$. F is the force, pushing the disc package together.
Does this change anything?
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